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Presentation on theme: "DataWORKS Educational Research (800) 495-1550 ©2012 All rights reserved. Comments? 6 th Grade Statistics,"— Presentation transcript:

1 DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 3.1 (1Q) Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome. Lesson to be used by EDI-trained teachers only. Learning Objective Name___________________ Today, we will represent 1 outcomes for compound events. 1 show CFU What are we doing to do today? What does represent mean? Represent means_______________. Activate (or provide) Prior Knowledge 1. If I have 10 Snickers and 2 Butterfingers in a bag, which one will I most likely grab? 2. If you have 9 pairs of black socks and 4 pairs of blue socks, what color pair will you most likely grab? CFU These are both single events, they ask about one thing happening. You were all able to identify how likely it is that some event will occur, which is called probability. Today, we will represent outcomes and calculate probability for more than one event, called compound events. I will most likely grab a Snickers. You will most likely grab a pair of black socks.

2 DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 3.1 (1Q) Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome. Lesson to be used by EDI-trained teachers only. Concept Development A compound event consists 2 of two or more events. 2 is made up of Probability is the likelihood that an event will happen. table Coin 1Coin 2 1.Heads 2.HeadsTails 3.TailsHeads 4.Tails Heads Tails Heads Tails tree diagram Coin 2: Coin 1: 1. Heads/Heads 2. Heads/Tails 3. Tails/Heads 4. Tails/Tails The probability for the compound event of both coins landing heads up is. Probability = number of desired 3 outcomes total number of outcomes Outcomes are possible results. They are what could happen in a given compound event. Tables and tree diagrams can be used to show how many outcomes are likely. Example: If two coins are tossed, what is the probability of both coins landing heads up? CFU Which is an example of a compound event? How do you know? 1. Rolling a die and spinning a spinner2. Rolling a die In your own words, explain what outcomes are. Outcomes are __________________________________. In your own words, explain what probability is. Probability is _________________. 3 wanted

3 DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 3.1 (1Q) Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice A compound event consists of two or more events. Outcomes are possible results. Step #1: Read the question and identify 4 the desired outcome. (underline) Step #2: Use a tree diagram or a table to determine 5 the outcomes. Step #3: List all the outcomes for the compound event. Step #4: Identify all the desired outcomes meeting the requirements of the question.(circle) Step #5: Set up a fraction to determine the probability of the event. 4 find 5 figure out 1. Mike is ordering ice cream at a local ice cream store. If he can select one flavor and one topping, what is the probability that he will choose chocolate ice cream with peanuts. Create a tree diagram to show all the possible choices of ice cream combinations. FlavorTopping ChocolateSprinkles VanillaButterscotch Peanuts Outcomes for first event: Outcomes for second event: All outcomes for the compound event: ___________________________________________________________________________ The probability for the compound event of choosing chocolate and peanuts is __________. CV SBPSBP CS, CB, CP, VS, VB, VP Probability = number of desired outcomes total number of outcomes CFU (#1) How did I/you identify the desired outcome? (#3) How did I/you list all the outcomes for the compound event? (#4)How did I/you identify the desired outcome for the compound event? Represent outcomes for compound events.

4 DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 3.1 (1Q) Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice (continued) A compound event consists of two or more events. Outcomes are possible results 2. At a deli, customers can choose one meat and one cheese for a sandwich. What is the probability that a sandwich will have turkey and Swiss cheese? Create a tree diagram to show all possible sandwich combinations. MeatCheese HamSwiss BeefCheddar TurkeyProvolone Outcomes for first event: Outcomes for second event: All outcomes for the compound event: ___________________________________________________________________________ The probability for the compound event of a sandwich with turkey and Swiss cheese is _______. H HS, HC, HP, BS, BC, BP, TS, TC, TP BT SCPSCPSCP Probability = number of desired outcomes total number of outcomes CFU (#1) How did I/you identify the desired outcome? (#3) How did I/you list all the outcomes for the compound event? (#4)How did I/you identify the desired outcome for the compound event? Step #1: Read the question and identify the desired outcome. (underline) Step #2: Use a tree diagram or a table to determine the outcomes. Step #3: List all the outcomes for the compound event. Step #4: Identify all the desired outcomes meeting the requirements of the question.(circle) Step #5: Set up a fraction to determine the probability of the event. Represent outcomes for compound events.

5 DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 3.1 (1Q) Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome. Lesson to be used by EDI-trained teachers only. CS, CB, CP, VS, VB, VP Skill Development/Guided Practice (continued) A compound event consists of two or more events. Outcomes are possible results. Outcomes for first eventOutcomes for second event All outcomes for the compound event: ____________________________________________________________ The probability for the compound event of choosing vanilla or chocolate and not butterscotch is _______. C C C V V V S B P P B S 3. Sam is ordering ice cream at a local ice cream store. If he can select one flavor and one topping, what is the probability that he will choose vanilla or chocolate ice cream and not butterscotch topping? Create a table to show all the possible choices of ice cream combinations. FlavorTopping ChocolateSprinkles VanillaButterscotch Peanuts Probability = number of desired outcomes total number of outcomes Step #1: Read the question and identify the desired outcome. (underline) Step #2: Use a tree diagram or a table to determine the outcomes. Step #3: List all the outcomes for the compound event. Step #4: Identify all the desired outcomes meeting the requirements of the question.(circle) Step #5: Set up a fraction to determine the probability of the event. Represent outcomes for compound events. CFU (#1) How did I/you identify the desired outcome? (#3) How did I/you list all the outcomes for the compound event? (#4)How did I/you identify the desired outcome for the compound event?

6 DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 3.1 (1Q) Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice (continued) A compound event consists of two or more events. Outcomes are possible results. 4. At a deli, customers can choose one meat and one cheese for a sandwich. What is the probability that a sandwich will have beef and not cheddar cheese? Create a table to show all possible sandwich combinations. MeatCheese HamSwiss BeefCheddar TurkeyProvolone All outcomes for the compound event: ___________________________________________________________________________ The probability for the compound event of a sandwich having beef and not cheddar is ________. Outcomes for first eventOutcomes for second event H H H B B B S C P T T T S C P S C P HS, HC, HP, BS, BC, BP, TS, TC, TP Probability = number of desired outcomes total number of outcomes Represent outcomes for compound events. Step #1: Read the question and identify the desired outcome. (underline) Step #2: Use a tree diagram or a table to determine the outcomes. Step #3: List all the outcomes for the compound event. Step #4: Identify all the desired outcomes meeting the requirements of the question.(circle) Step #5: Set up a fraction to determine the probability of the event. CFU (#1) How did I/you identify the desired outcome? (#3) How did I/you list all the outcomes for the compound event? (#4)How did I/you identify the desired outcome for the compound event?

7 DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 3.1 (1Q) Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome. Lesson to be used by EDI-trained teachers only. 1.Representing outcomes for compound events will help you in other classes, like Biology, when we determine inherited traits. CFU Does anyone else have another reason why it is relevant to represent outcomes for compound events? (pair-share) Why is it relevant to represent outcomes for compound events? You may give me one of my reasons or your own reason. Which reason is more relevant to you? Why? Relevance A compound event consists of two or more events. Outcomes are possible results. Pea plants can either be tall or short. The peas inherit the traits from their parent plants. To have a short plant, they have to get the short trait from both parents. There is one of the four offspring above that has both short traits. The probability of having a short pea plant is. T t Tt TT Tt tt 2. Representing outcomes for compound events will help you do well on tests.

8 DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 3.1 (1Q) Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome. Lesson to be used by EDI-trained teachers only. Skill Closure 1. An automobile dealer has cars available with a combination of colors and engines. What is the probability that a person will buy a car that has a 6-cylinder engine and is red? Create a tree diagram to show all the possible choices of cars. EngineColor 4-cylinderRed 6-cylinderBlack Silver White Outcomes for first event: Outcomes for second event: All outcomes for the compound event: _________________________________________________________________________ The probability for the compound event of buying a car that has a 6-cylinder engine and is red is ________. 4 R B W S 6 R B W S 4R, 4B, 4S, 4W, 6R, 6B, 6S, 6W Step #1: Read the question and identify the desired outcome. (underline) Step #2: Use a tree diagram or a table to determine the outcomes. Step #3: List all the outcomes for the compound event. Step #4: Identify all the desired outcomes meeting the requirements of the question.(circle) Step #5: Set up a fraction to determine the probability of the event. Represent outcomes for compound events. A compound event consists of two or more events. Outcomes are possible results. Probability = number of desired outcomes total number of outcomes Ham Swiss Cheddar Turkey Swiss Cheddar Constructed Response Closure Using a tree diagram to represent outcomes, Olivia identified 5 different choices in sandwiches. Is she correct or incorrect? Explain your answer. What did you learn today about representing outcomes for compound events? (pair-share) Day 1______________________________________________________________________________ Day 2______________________________________________________________________________

9 DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 3.1 (1Q) Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome. Lesson to be used by EDI-trained teachers only. Independent Practice Name _____________________________ 1. At a restaurant, customers can choose one sandwich and one drink for a lunch combo. What is the probability that a person will choose a bologna sandwich and a soda? Create a tree diagram to show all possible sandwich combinations. Outcomes for first event: Outcomes for second event: All outcomes for the compound event: ___________________________________________________________ The probability for the compound event of choosing a bologna sandwich and a soda is ________. SandwichDrink TurkeyRoot beer BolognaWater EggLemonade Cola T R W C L B R W C L E R W C L TR, TW, TL, TC, BR, BW, BL, BC, ER, EW, EL, EC Probability = number of desired outcomes total number of outcomes Represent outcomes for compound events. A compound event consists of two or more events. Outcomes are possible results. Step #1: Read the question and identify the desired outcome. (underline) Step #2: Use a tree diagram or a table to determine the outcomes. Step #3: List all the outcomes for the compound event. Step #4: Identify all the desired outcomes meeting the requirements of the question.(circle) Step #5: Set up a fraction to determine the probability of the event.

10 DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 3.1 (1Q) Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome. Lesson to be used by EDI-trained teachers only. Independent Practice (continued) A compound event consists of two or more events. Outcomes are possible results. Outcomes for first eventOutcomes for second event All outcomes for the compound event: ____________________________________________________________ The probability for the compound event of choosing a ticket with a number less than 5 from column A and greater than 5 from column B is ________. 2. All raffle tickets for an upcoming drawing must have one number from column A and one number from column B. What is the probability that a person will choose a ticket with a number less than 5 from column A and greater than 5 from column B? Create a table to show all possible number combinations. 2-1, 2-6, 3-1, 3-6, 8-1, 8-6 2 2 3 8 8 3 1 6 1 6 1 6 AB 21 36 8 Represent outcomes for compound events. Probability = number of desired outcomes total number of outcomes Step #1: Read the question and identify the desired outcome. (underline) Step #2: Use a tree diagram or a table to determine the outcomes. Step #3: List all the outcomes for the compound event. Step #4: Identify all the desired outcomes meeting the requirements of the question.(circle) Step #5: Set up a fraction to determine the probability of the event.

11 DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 3.1 (1Q) Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome. Lesson to be used by EDI-trained teachers only. Periodic Review 1 Name _____________________________ A compound event consists of two or more events. Outcomes are possible results. Outcomes for first event: Outcomes for second event: All outcomes for the compound event: ___________________________________________________________ The probability for the compound event of taking German and Astronomy is __________. 1. The local city college requires every student to take a foreign language and a science course. What is the probability that a person will take German and Astronomy? Create a tree diagram to show all possible course combinations. Foreign LanguageScience GermanAstronomy SpanishBiology Japanese French G A B S A B J A B F A B GA, GB, SA, SB, JA, JB, FA, FB Represent outcomes for compound events. Probability = number of desired outcomes total number of outcomes Step #1: Read the question and identify the desired outcome. (underline) Step #2: Use a tree diagram or a table to determine the outcomes. Step #3: List all the outcomes for the compound event. Step #4: Identify all the desired outcomes meeting the requirements of the question.(circle) Step #5: Set up a fraction to determine the probability of the event.

12 DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 3.1 (1Q) Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome. Lesson to be used by EDI-trained teachers only. Periodic Review 1 (continued) A compound event consists of two or more events. Outcomes are possible results. Outcomes for first eventOutcomes for second event All outcomes for the compound event: _______________________________________ _______________________________________ The probability for the compound event of choosing a pizza with only meat is ______. 2. At a pizza restaurant, customers can choose one topping from each column to make a combination pizza. What is the probability that a person will choose a pizza with meat from column 1 and meat from column 2? Create a table to show all possible pizza combinations. Column 1Column 2 PepperoniBacon TomatoChicken HamOlives Sausage PB, PC, PO, TB, TC, TO, HB, HC, HO, SB, SC, SO P P P T T T H H H S S S B C O B C O B C O B C O Represent outcomes for compound events. Probability = number of desired outcomes total number of outcomes Step #1: Read the question and identify the desired outcome. (underline) Step #2: Use a tree diagram or a table to determine the outcomes. Step #3: List all the outcomes for the compound event. Step #4: Identify all the desired outcomes meeting the requirements of the question.(circle) Step #5: Set up a fraction to determine the probability of the event.

13 DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 3.1 (1Q) Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome. Lesson to be used by EDI-trained teachers only. Periodic Review 2 Name _____________________________ A compound event consists of two or more events. Outcomes are possible results. Outcomes for first event: Outcomes for second event: All outcomes for the compound event: ___________________________________________________________ The probability for the compound event of choosing a pizza with no tomatoes and no olives is __________. Column 1Column 2 PepperoniBacon TomatoChicken HamOlives Sausage 1. At a pizza restaurant, customers can choose one topping from each column to make a combination pizza. What is the probability that a person will choose a pizza with no tomatoes and no olives? Create a tree diagram to show all possible pizza combinations. P BCO T BCO H BCO S BCO PB, PC, PO, TB, TC, TO, HB, HC, HO, SB, SC, SO Represent outcomes for compound events. Probability = number of desired outcomes total number of outcomes Step #1: Read the question and identify the desired outcome. (underline) Step #2: Use a tree diagram or a table to determine the outcomes. Step #3: List all the outcomes for the compound event. Step #4: Identify all the desired outcomes meeting the requirements of the question.(circle) Step #5: Set up a fraction to determine the probability of the event.

14 DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 3.1 (1Q) Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome. Lesson to be used by EDI-trained teachers only. Periodic Review 2 (continued) A compound event consists of two or more events. Outcomes are possible results. All outcomes for the compound event: ________________________________________ ________________________________________ SandwichDrink TurkeyRoot beer BolognaWater EggLemonade Cola Outcomes for first eventOutcomes for second event 2. At a restaurant, customers can choose one sandwich and one drink for a lunch combo. What is the probability that a person will choose an egg sandwich and not a soda? Create a table to show all possible sandwich combinations. TR, TW, TL, TC, BR, BW, BL, BC, ER, EW, EL, EC T T T T B B B B E E E E R W L C R W L C R W L C The probability for the compound event of choosing an egg sandwich and not a soda is ______. Represent outcomes for compound events. Probability = number of desired outcomes total number of outcomes Step #1: Read the question and identify the desired outcome. (underline) Step #2: Use a tree diagram or a table to determine the outcomes. Step #3: List all the outcomes for the compound event. Step #4: Identify all the desired outcomes meeting the requirements of the question.(circle) Step #5: Set up a fraction to determine the probability of the event.

15 DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 3.1 (1Q) Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome. Lesson to be used by EDI-trained teachers only. Periodic Review 3 Name _____________________________ Outcomes for first event: Outcomes for second event: All outcomes for the compound event: ___________________________________________________________ The probability for the compound event of choosing a ticket with an even number from column A and an odd number from column B is __________. AB 21 36 8 1. All raffle tickets for an upcoming drawing must have one number from column A and one number from column B. What is the probability that a person will choose a ticket with an even number from column A and an odd number from column B? Create a tree diagram to show all possible number combinations. 2 1 6 3 1 6 8 1 6 2-1, 2-6, 3-1, 3-6, 8-1, 8-6 Represent outcomes for compound events. A compound event consists of two or more events. Outcomes are possible results. Probability = number of desired outcomes total number of outcomes Step #1: Read the question and identify the desired outcome. (underline) Step #2: Use a tree diagram or a table to determine the outcomes. Step #3: List all the outcomes for the compound event. Step #4: Identify all the desired outcomes meeting the requirements of the question.(circle) Step #5: Set up a fraction to determine the probability of the event.

16 DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 3.1 (1Q) Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome. Lesson to be used by EDI-trained teachers only. Periodic Review 3 (continued) A compound event consists of two or more events. Outcomes are possible results. All outcomes for the compound event: ____________________________________________________________ The probability for the compound event of not taking Japanese and taking either Astronomy or Biology is ________. Foreign LanguageScience GermanAstronomy SpanishBiology Japanese French Outcomes for first eventOutcomes for second event 2. The local city college requires every student to take a foreign language and a science course. What is the probability that a person will not take Japanese and will take either Biology or Astronomy? Create a table to show all possible course combinations. GA, GB, SA, SB, JA, JB, FA, FB G G S S J J F F A B A B A B A B Represent outcomes for compound events. Probability = number of desired outcomes total number of outcomes Step #1: Read the question and identify the desired outcome. (underline) Step #2: Use a tree diagram or a table to determine the outcomes. Step #3: List all the outcomes for the compound event. Step #4: Identify all the desired outcomes meeting the requirements of the question.(circle) Step #5: Set up a fraction to determine the probability of the event.


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